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Fractions describe parts of a whole. In Key Stage 1, children are introduced to halves and quarters in Year 1, and extend to thirds and more complex fractions in Year 2.
A fraction describes an equal part of a whole. The key word is equal — the parts must be the same size.
A half (1/2):
+-----+-----+
|XXXXX| |
|XXXXX| |
+-----+-----+
1 out of 2 equal parts
A quarter (1/4):
+--+--+--+--+
|XX| | | |
|XX| | | |
+--+--+--+--+
1 out of 4 equal parts
A half is 1 of 2 equal parts. The whole is divided into 2 equal pieces, and a half is one of those pieces.
Halves of shapes:
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